Use the discriminant to determine the number of solutions.
6. 4x² + 4x-1
a. 2 reals b. 1 real c. o reals d. 4 reals

one real solution

Step-by-step explanation:

Let's recall that for the general quadratic expression: , the discriminant is defined as: (which is the expression that appears inside the square root when solving for the solutions of the quadratic equation:  

In our case, the determinant for   can therefore be written as:   therefore this corresponds to only one real solution for the associated equation:

0.0076, if you meant 4.125 divided by 0.03125 it would be 132

step-by-step explanation:

first you have to move the decimal in 0.03125 over until its behind the 5 which is 5 places over. now the number is 3125

then you have to move the decimal in 4.125, 5 places over. now the number is 4,112,500.

now you divide like you would normally would and get 0.0076